A Power Tower Control: A New Sliding Mode Control

Fuente: arXiv
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Autori principali: Ghanes, Malek, Barbot, Jean-Pierre
Natura: Preprint
Pubblicazione: 2024
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author Ghanes, Malek
Barbot, Jean-Pierre
author_facet Ghanes, Malek
Barbot, Jean-Pierre
contents A control based power tower function at order 2 is proposed in this paper. This leads to a new sliding mode control, which allows employing backstepping technique that combines both guaranteed and finite time convergence. The proposed control is applied to a double integrator subject to perturbation $d$. Both guaranteed and finite convergence are ensured by the controller when $d$ is considered constant and bounded, without knowing its upper bound. For the case, when $d$ is variable and bounded with its upper bound known, only a finite time convergence is obtained. Simulation results are given to show the well founded of the proposed novel control.
format Preprint
id arxiv_https___arxiv_org_abs_2405_14461
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A Power Tower Control: A New Sliding Mode Control
Ghanes, Malek
Barbot, Jean-Pierre
Dynamical Systems
A control based power tower function at order 2 is proposed in this paper. This leads to a new sliding mode control, which allows employing backstepping technique that combines both guaranteed and finite time convergence. The proposed control is applied to a double integrator subject to perturbation $d$. Both guaranteed and finite convergence are ensured by the controller when $d$ is considered constant and bounded, without knowing its upper bound. For the case, when $d$ is variable and bounded with its upper bound known, only a finite time convergence is obtained. Simulation results are given to show the well founded of the proposed novel control.
title A Power Tower Control: A New Sliding Mode Control
topic Dynamical Systems
url https://arxiv.org/abs/2405.14461